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Simplifying 0.25(12a + -48) + 7a = -8a + 125 Reorder the terms: 0.25(-48 + 12a) + 7a = -8a + 125 (-48 * 0.25 + 12a * 0.25) + 7a = -8a + 125 (-12 + 3a) + 7a = -8a + 125 Combine like terms: 3a + 7a = 10a -12 + 10a = -8a + 125 Reorder the terms: -12 + 10a = 125 + -8a Solving -12 + 10a = 125 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -12 + 10a + 8a = 125 + -8a + 8a Combine like terms: 10a + 8a = 18a -12 + 18a = 125 + -8a + 8a Combine like terms: -8a + 8a = 0 -12 + 18a = 125 + 0 -12 + 18a = 125 Add '12' to each side of the equation. -12 + 12 + 18a = 125 + 12 Combine like terms: -12 + 12 = 0 0 + 18a = 125 + 12 18a = 125 + 12 Combine like terms: 125 + 12 = 137 18a = 137 Divide each side by '18'. a = 7.611111111 Simplifying a = 7.611111111
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